Home / 1,024.09-1,413.24-631.01

Finding the Fourth Proportional to 1,024.09, 1,413.24 and 631.01

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Solution

The fourth proportional to 1,024.09, 1,413.24 and 631.01 is: 870.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024.09 : 1,413.24 = 631.01 : x
  2. Step 2: Convert to fraction form
    1,024.09/1,413.24 = 631.01/x
  3. Step 3: Cross multiply
    1,024.09x = 1,413.24 × 631.01
  4. Step 4: Simplify right side
    1,024.09x = 891,768.57
  5. Step 5: Solve for x
    x = 891,768.57/1,024.09
  6. Step 6: Final answer
    x = 870.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.